1. The data in the figure below represents the number of stars earned by 140 performers in a talent competition. 35 (N - 140) Percentage of Performers Number of Stars How many performers earned exactly 2 stars? (be careful - compare the question wording to the scale on the graph 2. Suppose you are a researcher in a hospital. You are experimenting with a new tranquilizer. You collect data from a random sample of 11 patients. The period of effectiveness of the tranquilizer for each patient (in hours) is as follows: 2.2 2.3 2.1 2.5 2.1 2.3 2.7 2.2 2.1 2.3 What is a point estimate for the population mean length of time. (Round answer to 4 decimal places) (2 points) ! 3. If you are using x and s to estimate the population mean (J), and you sample 88 observations, what is the degrees of freedom for the critical t value (t./2)? 4. A drug test is accurate 90% of the time. If the test is given to 225 people who have not taken drugs, what is the probability that exactly 205 will test negative? First, use the normal approximation to the binomial, and use the continuity correction Normal Approximate Probability = Now use the binomial distribution. Exact Binomial Probability =